Lexicographical order, lexicographical index, and linear operators
نویسندگان
چکیده
منابع مشابه
Lexicographical Order
procedure ari thmetic (a, b, c, op); in t eger a, b, c, op; ¢ o n l m e n t This procedure will perform different order ar i thmetic operations with b and c, put t ing the result in a. The order of the operation is given by op. For op = 1 addit ion is performed. For op = 2 multiplicaLion, repeated addition, is done. Beyond these the operations are non-commutat ive. For op = 3 exponentiat ion, r...
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When a bibliography is built by extracting references from a data base—as BibTEX does when it builds a bibliography for a LATEX document—these references are usually sorted w.r.t. author names. Nevertheless, most of implementations of lexical order relations on person names consist of concatenations of the parts of names: first name, particle, last name. We show that this may lead to incorrect ...
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The extension of mathematical morphology to color and more generally to multivariate image data is still an open problem. The definition of multivariate morphological operators requires the introduction of a complete lattice structure on the image data, hence vectorial extrema computation methods are necessary. In this paper, we propose a lexicographical approach with this end, based on the pri...
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In this work we generalize primitive recursion in order to construct a hierarchy of terminating total recursive operators which we refer to as leveled primitive recursion of order i(PRi). Primitive recursion is equivalent to leveled primitive recursion of order 1 (PR1). The functions constructable from the basic functions make up PR0. Interestingly, we show that PR2 is a conservative extension ...
متن کاملPseudo Multivariate Morphological Operators based on α-trimmed Lexicographical Extrema
The extension of mathematical morphology to color and more generally to multivariate image data is still an open problem. The definition of multivariate morphological operators requires the introduction of a complete lattice structure on the image data, hence vectorial extrema computation methods are necessary. In this paper, we propose a lexicographical approach with this end, based on the pri...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1990
ISSN: 0024-3795
DOI: 10.1016/0024-3795(90)90283-i